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What is the sum of the squares of the numbers from 3 to 18?
Question

What is the sum of the squares of the numbers from 3 to 18?

A.

2102

B.

2104

C.

2103

D.

2101

Correct option is B

Formula Used:

Sum of the squares of first n natural numbers =n(n+1)(2n+1)6\frac{n(n+1)(2n+1)}{6}

Solution:

Sum of square of first 18 numbers = 18(18+1)(36+1)6\frac{18(18+1)(36+1)}{6}= 2109

Sum of square of first 2 numbers=2(2+1)(4+1)6\frac{2(2+1)(4+1)}{6} =5

Sum of square from 3 to 18 = 2109 -5 =2104

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